Vectors (6) Vector Equation of a Line Vector Equation of a Line.
Decide if an equation has no solutions Solve, if possible. Example 4 53x3x + 6 = + 2 – Write...
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Transcript of Decide if an equation has no solutions Solve, if possible. Example 4 53x3x + 6 = + 2 – Write...
Decide if an equation has no solutions
Solve , if possible.
Example 4
53x + 6 =+ 2–
Write original equation.53x + 6 =+ 2–
Subtract 6 from each side.53x + = 8–
The absolute value of a number is never negative. So, there are no solutions.
ANSWER
Use absolute deviationExample 5
Before the start of a professional basketball game, a basketball must be inflated to an air pressure of 8 pounds per square inch (psi) with an absolute error of 0.5 psi. Find the minimum and maximum acceptable airpressures for the basketball.
BASKETBALLS
Let p be the air pressure (in psi) of a basketball. Write a verbal model. Then write and solve an absolute value equation.
SOLUTION
Use absolute deviationExample 5
Write original equation.0.5 = 8p –
or Rewrite as two equations.0.5 = 8p – = 8p –0.5–
or Add 8 to each side.8.5 = p = p7.5
The minimum and maximum acceptable pressures are 7.5 psi and 8.5 psi.
ANSWER
Guided Practice for Examples 4 and 5
8.
Solve the equation, if possible.
5m 4 =+ 2–2
9. 2n 7 =3– + – 10–
10. An NCAA football must be inflated to an air pressure of 13 psi with an absolute error of 0.5 psi.Find the minimum and maximum acceptable air pressures for an NCAA football.
FOOTBALL
ANSWER no solution
ANSWER 12.5 psi, 13.5 psi
ANSWER 1,– 3–